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Finding the Third Proportional to 16,449.50 and 39,775

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Solution

The third proportional to 16,449.50 and 39,775 is: 96,176.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,449.50 : 39,775 = 39,775 : x
  2. Step 2: Convert to fraction form
    16,449.50/39,775 = 39,775/x
  3. Step 3: Cross multiply
    16,449.50x = 39,775 × 39,775
  4. Step 4: Simplify right side
    16,449.50x = 1,582,050,625
  5. Step 5: Solve for x
    x = 1,582,050,625/16,449.50
  6. Step 6: Final answer
    x = 96,176.21

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.